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I'd read the 99/100 explanation, but it didn't do it for me. Because I wanted to say "but Monty isn't opening 98 doors, he's opening one door."
But of course the point is he's opening all but one in both cases. Still I'll admit that explination didn't work as well for me as:
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By switching, the player is ensuring that he will win if he originally picked a goat. The probability of picking a goat was 2/3, so the player should switch.
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-Jeff
Rome did not create a great empire by having meetings; they did it by killing all those who opposed them.